Finding the Fourth Proportional to 3,856.80, 5,791.74 and 3,659.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,856.80 : 5,791.74 = 3,659.52 : x
2. Step 2: Convert to fraction form
   3,856.80/5,791.74 = 3,659.52/x
3. Step 3: Cross multiply
   3,856.80x = 5,791.74 × 3,659.52
4. Step 4: Simplify right side
   3,856.80x = 21,194,988.36
5. Step 5: Solve for x
   x = 21,194,988.36/3,856.80
6. Step 6: Final answer
   x = 5,495.49